Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1429, 1430 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1429 and 1430 is 1.
GCF(1429,1430) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1429
1429 | 1429 |
1 |
Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:
1429 = 14291
Prime Factorization of 1430
2 | 1430 |
5 | 715 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 1430 are 2.Prime factorization of 1430 in exponential form is:
1430 = 21×51×111×131
∴ So by taking common prime factors GCF of 1429 and 1430 is 1
Factors of 1429
List of positive integer factors of 1429 that divides 1429 without a remainder.
1,1429
Factors of 1430
List of positive integer factors of 1430 that divides 1430 without a remainder.
1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Greatest Common Factor
We found the factors and prime factorization of 1429 and 1430. The biggest common factor number is the GCF number.
So the greatest common factor 1429 and 1430 is 1.
Also check out the Least Common Multiple of 1429 and 1430
(i) The GCF of 1429 and 1430 is associative
GCF of 1429 and 1430 = GCF of 1430 and 1429
1. What is the GCF of 1429 and 1430?
Answer: GCF of 1429 and 1430 is 1.
2. What are the Factors of 1429?
Answer: Factors of 1429 are 1, 1429. There are 2 integers that are factors of 1429. The greatest factor of 1429 is 1429.
3. What are the Factors of 1430?
Answer: Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430. There are 16 integers that are factors of 1430. The greatest factor of 1430 is 1430.
4. How to Find the GCF of 1429 and 1430?
Answer:
Greatest Common Factor of 1429 and 1430 = 1
Step 1: Find the prime factorization of 1429
1429 = 1429
Step 2: Find the prime factorization of 1430
1430 = 2 x 5 x 11 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 1429 and 1430 is 1